Equation of the line which passes through the two points, Mathematics

Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5).

Solution

At first glance it might not appear which we'll be capable to use the point-slope form of the line since this need a single point (we've got two) & the slope (that we don't have). However, this fact that we've got two points isn't actually a problem; actually, we can employ these two points to find out the missing slope of the line since we do know that we can always determine that from any two points on the line.

Thus, let's begin my finding the slope of the line.

                                  m = -5 - 4 / 3 - ( -2)  = - 9 /5

Now, which point have to we employ to write down the equation of the line? Actually we can use either point. To illustrate this we will use both.

First, we'll use ( -2, 4) .  Now that we've gotten the point all that we have to do is plug into the formula. We will employ the second form.

                              y = 4 - 9/5 ( x - ( -2)= ( 4 - 9/5 (x + 2)

Now, let's use (3, -5).

y = -5 - 9/5 (x - 3)

Okay, we claimed that it wouldn't matter that point we utilized in the formula, however these sure look like distinct equations.  However it turns out that these actually are the same equation. To illustrate this all that we have to do is distribute the slope through the parenthesis and then simplify.

Following is the first equation.

y = 4 - 9 /5( x + 2)

= 4 - 9/5 x - 18/5

= - (9/5) x + 2/5

Following is the second equation.

y = -5 - 9/5 ( x - 3)

= -5 - 9/5 x + 27/5

= - 9 /5x + 2/5

Thus, sure enough they are the same equation.

Posted Date: 4/6/2013 5:58:39 AM | Location : United States







Related Discussions:- Equation of the line which passes through the two points, Assignment Help, Ask Question on Equation of the line which passes through the two points, Get Answer, Expert's Help, Equation of the line which passes through the two points Discussions

Write discussion on Equation of the line which passes through the two points
Your posts are moderated
Related Questions
What is minimum spanning tree?  Determine a railway network of minimal cost for the cities in the following graph using Kruskal's algorithm. Ans: Minimum spanning tree in a con

Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2           (Ans:3:5) Ans :   Let the ratio be k:1 x = 4 k + 6/ k +1 y

Smooth Curve - Three Dimensional Space A smooth curve is a curve for which → r' (t) is continuous and → r' (t) ≠ 0 for any t except probably at the endpoints. A helix is a s

determine the square of the following numbers ... a.8 b.13 c.17 and d.80

a bathroom measure 250 cm by 175 cm calculate the side of the largest square tile that can tile the floor

Cone - Three dimensional spaces The below equation is the general equation of a cone. X 2 / a 2 + y 2 /b 2 = z 2 /c 2 Here is a diagram of a typical cone. Not

A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.

Q. Multiplying Mixed Numbers? Ans. Multiplying mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions 2. Multiply the fractions 3.

In pharmaceutical product research doctors visit the place to learn what

Amy purchased 6 books at $4.79 each. How much did the books cost altogether? Multiply 6 by $4.79; 6 × $4.79 = $28.74.